New family of cubic Hamiltonian centers

Martín Eduardo Frías-Armenta; Jaume Llibre

doi:10.1007/s40590-016-0126-6

New family of cubic Hamiltonian centers

Martín Eduardo Frías-Armenta
, Jaume Llibre

Departamento de Matemáticas

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

© 2016, Sociedad Matemática Mexicana. We characterize the 11 non-topological equivalent classes of phase portraits in the Poincaré disc of the new family of cubic polynomial Hamiltonian differential systems with a center at the origin and Hamiltonian H=12((x+ax2+bxy+cy2)2+y2),with a2+ b2+ c2≠ 0.

Original language	American English
Pages (from-to)	737-758
Number of pages	22
Journal	Boletin de la Sociedad Matematica Mexicana
DOIs	https://doi.org/10.1007/s40590-016-0126-6
State	Published - 1 Oct 2017

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title = "New family of cubic Hamiltonian centers",

abstract = "{\textcopyright} 2016, Sociedad Matem{\'a}tica Mexicana. We characterize the 11 non-topological equivalent classes of phase portraits in the Poincar{\'e} disc of the new family of cubic polynomial Hamiltonian differential systems with a center at the origin and Hamiltonian H=12((x+ax2+bxy+cy2)2+y2),with a2+ b2+ c2≠ 0.",

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AU - Llibre, Jaume

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N2 - © 2016, Sociedad Matemática Mexicana. We characterize the 11 non-topological equivalent classes of phase portraits in the Poincaré disc of the new family of cubic polynomial Hamiltonian differential systems with a center at the origin and Hamiltonian H=12((x+ax2+bxy+cy2)2+y2),with a2+ b2+ c2≠ 0.

AB - © 2016, Sociedad Matemática Mexicana. We characterize the 11 non-topological equivalent classes of phase portraits in the Poincaré disc of the new family of cubic polynomial Hamiltonian differential systems with a center at the origin and Hamiltonian H=12((x+ax2+bxy+cy2)2+y2),with a2+ b2+ c2≠ 0.

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DO - 10.1007/s40590-016-0126-6

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JO - Boletin de la Sociedad Matematica Mexicana

JF - Boletin de la Sociedad Matematica Mexicana

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New family of cubic Hamiltonian centers

Abstract

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